000070660 001__ 70660
000070660 005__ 20200221144337.0
000070660 0247_ $$2doi$$a10.1016/j.advwatres.2016.10.019
000070660 0248_ $$2sideral$$a97072
000070660 037__ $$aART-2016-97072
000070660 041__ $$aeng
000070660 100__ $$0(orcid)0000-0002-1386-5543$$aMurillo, J.$$uUniversidad de Zaragoza
000070660 245__ $$aA comprehensive explanation and exercise of the source terms in hyperbolic systems using Roe type solutions. Application to the 1D-2D shallow water equations
000070660 260__ $$c2016
000070660 5060_ $$aAccess copy available to the general public$$fUnrestricted
000070660 5203_ $$aPowerful numerical methods have to consider the presence of source terms of different nature, that intensely compete among them and may lead to strong spatiotemporal variations in the flow. When applied to shallow flows, numerical preservation of quiescent equilibrium, also known as the well-balanced property, is still nowadays the keystone for the formulation of novel numerical schemes. But this condition turns completely insufficient when applied to problems of practical interest. Energy balanced methods (E-schemes) can overcome all type of situations in shallow flows, not only under arbitrary geometries, but also with independence of the rheological shear stress model selected. They must be able to handle correctly transient problems including modeling of starting and stopping flow conditions in debris flow and other flows with a non-Newtonian rheological behavior. The numerical solver presented here satisfies these properties and is based on an approximate solution defined in a previous work. Given the relevant capabilities of this weak solution, it is fully theoretically derived here for a general set of equations. This useful step allows providing for the first time an E-scheme, where the set of source terms is fully exercised under any flow condition involving high slopes and arbitrary shear stress. With the proposed solver, a Roe type first order scheme in time and space, positivity conditions are explored under a general framework and numerical simulations can be accurately performed recovering an appropriate selection of the time step, allowed by a detailed analysis of the approximate solver. The use of case-dependent threshold values is unnecessary and exact mass conservation is preserved.
000070660 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/CGL2015-66114-R
000070660 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000070660 590__ $$a3.221$$b2016
000070660 591__ $$aWATER RESOURCES$$b7 / 88 = 0.08$$c2016$$dQ1$$eT1
000070660 592__ $$a2.202$$b2016
000070660 593__ $$aWater Science and Technology$$c2016$$dQ1
000070660 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000070660 700__ $$0(orcid)0000-0002-3465-6898$$aNavas-Montilla, A.$$uUniversidad de Zaragoza
000070660 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000070660 773__ $$g98 (2016), 70-96$$pAdv. water resour.$$tADVANCES IN WATER RESOURCES$$x0309-1708
000070660 8564_ $$s16848281$$uhttps://zaguan.unizar.es/record/70660/files/texto_completo.pdf$$yPostprint
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000070660 951__ $$a2020-02-21-13:48:20
000070660 980__ $$aARTICLE